Dispersion and variation orders of extreme order statistics from dependent unit gamma Gompertz random variables

Abstract Dispersive order is used to compare the variability in probability distributions, while star order is used to compare the skewness of probability distributions. In this paper, we discuss dispersive and star orders of the smallest and largest order statistics from dependent unit gamma Gomper...

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Bibliographic Details
Main Authors: M. Shekari, Z. Pakdaman, G. Saadat Kia Barmalzan, N. Balakrishnan
Format: Article
Language:English
Published: SpringerOpen 2025-04-01
Series:Journal of Inequalities and Applications
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Online Access:https://doi.org/10.1186/s13660-025-03290-x
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Summary:Abstract Dispersive order is used to compare the variability in probability distributions, while star order is used to compare the skewness of probability distributions. In this paper, we discuss dispersive and star orders of the smallest and largest order statistics from dependent unit gamma Gompertz random variables. We also use the Archimedean copula for representing the joint distribution of the underlying random variables. Several numerical examples are presented in order to illustrate all the results established here.
ISSN:1029-242X